In this section, we numerically evaluate the computation MSE of the optimal and low-complexity policies with different number of sensors \(K\) .
Unless otherwise stated, we set \(\mathbf {A}=\alpha \mathbf {I}\)  [1]}, where \(0<\alpha <1\) , \(\mathbf {V}_x=\mathbf {I}\) , \(\sigma ^2_z=1\)  and \(P_k =10,\forall k\in \mathcal {K}\)  [2]}. A large \(\alpha \)  means that the process \({\mathbf {x}_t}\)  is tightly time-correlated. From (REF ), we have \(\mathbf {V}_w = (1-\alpha ^2) \mathbf {I}\) .
We assume normalized Rayleigh fading channels for evaluating the AirComp system performance that averages over \(10^5\)  random channel realizations.
